Exploring Data Range

Overview

This 30-minute lesson introduces Year 5 pupils (age 10) to the concept of range within data sets. It follows the Northern Ireland Curriculum for Mathematics, focusing on the Handling Data strand, with differentiation to support lower, core, and higher ability students.

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Curriculum Alignment

Learning Area: Mathematics – Handling Data
Level: Level 4 (Years 5 and 6)
Relevant Learning Objectives:

• C1.2: "Collect, organise and interpret sets of discrete data."
• C1.3: "Use simple calculations to describe set of data" (introducing range as a measurement of spread).
• Develop awareness of the variability within data sets and how to describe it through range.

Skills Development:

• Handling Data: Sorting and interpreting data, calculating the range.
• Using Mathematics: Developing problem-solving strategies with numerical data.
• Thinking Skills and Personal Capabilities: Reasoning and communicating using mathematical language.

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Learning Intentions

By the end of the lesson, pupils will:

• Understand what range means in the context of data.
• Be able to calculate the range from a simple data set.
• Recognise how range shows variability or spread in data.

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Success Criteria

Pupils can:

• Explain that range is the difference between the highest and lowest values.
• Calculate the range for a set of numbers accurately.
• Apply this knowledge to describe data they collect themselves.

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Resources

• Whiteboard and markers
• Printed number cards (values between 1 and 50) for group activity
• Clipboards, paper, pencils
• Pre-prepared data sets (tailored for differentiation)
• Mini whiteboards for individual responses
• Range worksheet differentiated by ability

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Lesson Structure

1. Introduction (5 minutes)

• Begin with a quick warm-up: Ask pupils to think of a set of five numbers related to heights of children in the class or favourite football scores they know.
• Define "range" simply: "Range means the difference between the biggest number and the smallest number." Write the definition on the board.
• Use a simple example: Write numbers 4, 9, 15, 7, 12 on the board and calculate the range together: 15 - 4 = 11.

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2. Activity: Discovering Range (15 minutes)

Whole class warm-up (5 minutes):

• Show a small set of data on the board (e.g., test scores: 23, 35, 40, 33, 28).
• Question: What is the smallest number? What is the biggest? What is the difference?
• Calculate range together.

Group work with differentiation (10 minutes):

• Lower Ability Group:

  • Use smaller number sets (e.g., 4 numbers between 1-20).
  • Provide step-by-step guided worksheet: find smallest, find biggest, subtract.
  • Teacher or teaching assistant supports group, emphasising vocabulary and method.

• Core Group:

  • Data sets with 5-6 numbers, between 1-50.
  • Independently find max, min and range.
  • Discuss what range tells us about the data.
  • Use number cards to create own data sets and calculate range.

• Higher Ability Group:

  • Data sets with 6-8 numbers including decimals or negative numbers (e.g., −3, 2, 5.5, 7.1).
  • Challenge: Interpret what a range of zero means.
  • Extension: Suggest other ways of describing data spread beyond range (e.g., median, mode).
  • Create their own questions for peers using these sets.

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3. Plenary (5 minutes)

• Bring the class back together.
• Ask volunteers from each group to share their findings and explain how they calculated the range.
• Highlight the importance of range in understanding the spread of data.
• Quick oral quiz on mini whiteboards: "Find the range of 18, 22, 35, 20."

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4. Assessment and Feedback (5 minutes)

• Collect worksheets to assess understanding against success criteria.
• Oral questioning during plenary assesses reasoning and communication skills.
• Use observations from group work to identify pupils needing extra support or enrichment.

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Additional Notes on Differentiation

• Lower ability: Use visual aids like number lines and physical cards to order numbers. Pair with supportive adult.
• Core ability: Independent but scaffolded worksheets and practical handling of data cards.
• Higher ability: Encourage extended thinking and application beyond basic range; introduce decimals and negative numbers carefully.

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Reflection and Next Steps

• Reflect with class whether they can see why range helps describe data.
• Next lesson will consolidate this by introducing median and mode, comparing them to range.
• For homework, ask pupils to bring in a small set of numerical data from home (e.g., temperatures or daily steps) to calculate range.

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This lesson fully integrates the NI curriculum objectives, supports personalised learning, and actively engages pupils in understanding data variability by calculating and interpreting range.